Q84 / 150 · MHT CET 2019 (02 May Shift 1) · Mathematics

The equivalent form of the statement $~ (p \to ~ q)$ is ________

Correct answer
A
$p \land q$
B
$p \land ~ q$
C
$p \lor ~ q$
D
$~ p \lor q$

Solution

Since,

\sim (p \to q) \Rightarrow (p \land \sim q)

Then,

\sim (p \to \sim q) \Rightarrow p \land (\sim (\sim q))

= p \land q

Hence, the correct answer is option: 'A'.

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